TGPT-PINN: nonlinear model reduction with transformed GPT-PINNs (Q6595863)

scientific article; zbMATH DE number 7904361

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English	TGPT-PINN: nonlinear model reduction with transformed GPT-PINNs	scientific article; zbMATH DE number 7904361

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instance of

scholarly article

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title

TGPT-PINN: nonlinear model reduction with transformed GPT-PINNs (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

30 August 2024

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zbMATH Keywords

nonlinear model order reduction

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physics-informed neural networks

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meta-learning

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reduced basis method

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parametric systems

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MaRDI profile type

Publication

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cites work

Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots

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Model Order Reduction for Problems with Large Convection Effects

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Transported snapshot model order reduction approach for parametric, steady-state fluid flows containing parameter-dependent shocks

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Model Order Reduction of Combustion Processes with Complex Front Dynamics

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A Registration Method for Model Order Reduction: Data Compression and Geometry Reduction

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The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena

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Manifold Approximations via Transported Subspaces: Model Reduction for Transport-Dominated Problems

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Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

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A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations

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A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder

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The neural network shifted-proper orthogonal decomposition: a machine learning approach for non-linear reduction of hyperbolic equations

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Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

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Wasserstein model reduction approach for parametrized flow problems in porous media

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Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates

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Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling

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Operator inference for non-intrusive model reduction with quadratic manifolds

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Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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Approximation of high-dimensional parametric PDEs

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Convergence Rates for Greedy Algorithms in Reduced Basis Methods

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<i>A priori</i>convergence of the Greedy algorithm for the parametrized reduced basis method

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Q4558473

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Discontinuity computing using physics-informed neural networks

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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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Identifiers

DOI

10.1016/j.cma.2024.117198

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6595863